Question

a batsman in his 11th inning makes a score of 68 runs and thereby increased his average score by 2 what is his average score after 11th innings

Answer 1

Answer:

48

Step-by-step explanation:

Concept:

$Average=\frac{sum\:of \:observations}{number \:of\: observations}$

Batsman's 11 th innings score = 68 runs

Let his average score for 10 innings be x runs

Sum of the score for first 10 innings = 10x

Sum of the score after 11 innings

=10x +68

As per given data,

Average score after the 11 innings

= x+2 runs

That is

$\frac{sum\: of\: the\: score\: in\:11\: innings}{11}=x+2 \\\\\frac{10x+68}{11}=x+2$

10x+68 = 11x + 22

11x - 10x = 68 - 22

x = 46

Therefore

Average score after the 11 innings

= x+2 runs

= 46+2 = 48 runs

Answer 2

Given,

A Batsman score 68 Runs in his 11th inning.

Average score increases by 2 Runs after his 11th innings.

Let’s Suppose,

Average of 10 innings = X

Average of 11 innings = (X+2)

Total Runs after 11th innings = 10X + 68 = 11(X+2)

=> 10X+68 = 11X+22

=> 68-22 = 11X -10X

=> X = 46

So,

Average of 10 innings = X = 46 Runs

Average of 11 innings = (X+2) = (46 + 2) = 48 Runs